Solution - Power equations

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "2.5" was replaced by "(25/10)". 2 more similar replacement(s)

Step  1  :

 1.1     10 = 2•5

(10)⁶ = (2•5)⁶ = 2⁶ • 5⁶

Equation at the end of step  1  :

   85        25
  (——•(1013))——•(26•56))
   10(       10

Step  2  :

            5
 Simplify   —
            2

Equation at the end of step  2  :

   85              5
  (—— • (1013)) ÷ (— • (26•56))
   10              2

Step  3  :

Multiplying exponents :

 3.1    5¹  multiplied by  5⁶   = 5^{(1 + 6)} = 5⁷

Raising to a Power :

 3.2    2⁶   divided by   2¹   = 2^{(6 - 1)} = 2⁵

Equation at the end of step  3  :

   85
  (—— • (1013)) ÷ (57•25)
   10

Step  4  :

 4.1     10 = 2•5

(10)¹³ = (2•5)¹³ = 2¹³ • 5¹³

Equation at the end of step  4  :

   85
  (—— • (213•513)) ÷ (57•25)
   10

Step  5  :

            17
 Simplify   ——
            2 

Equation at the end of step  5  :

  17
  —— • (213•513)) ÷ (57•25)
  2 

Step  6  :

Dividing exponents :

 6.1    2¹³   divided by   2¹   = 2^{(13 - 1)} = 2¹²

Equation at the end of step  6  :

Step  7  :

            (17•212•513)
 Simplify   ————————————
              (57•25)   

Dividing exponents :

 7.1    2¹²   divided by   2⁵   = 2^{(12 - 5)} = 2⁷

Dividing exponents :

 7.2    5¹³   divided by   5⁷   = 5^{(13 - 7)} = 5⁶

Final result :

  (17•27•56)